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Finding the Fourth Proportional to 138.53, 191.16 and 76.35

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Solution

The fourth proportional to 138.53, 191.16 and 76.35 is: 105.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.53 : 191.16 = 76.35 : x
  2. Step 2: Convert to fraction form
    138.53/191.16 = 76.35/x
  3. Step 3: Cross multiply
    138.53x = 191.16 × 76.35
  4. Step 4: Simplify right side
    138.53x = 14,594.68
  5. Step 5: Solve for x
    x = 14,594.68/138.53
  6. Step 6: Final answer
    x = 105.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.